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Finding the Fourth Proportional to 312,062.16, 468,163.62 and 98,843.16

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Solution

The fourth proportional to 312,062.16, 468,163.62 and 98,843.16 is: 148,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,062.16 : 468,163.62 = 98,843.16 : x
  2. Step 2: Convert to fraction form
    312,062.16/468,163.62 = 98,843.16/x
  3. Step 3: Cross multiply
    312,062.16x = 468,163.62 × 98,843.16
  4. Step 4: Simplify right side
    312,062.16x = 46,274,771,597.84
  5. Step 5: Solve for x
    x = 46,274,771,597.84/312,062.16
  6. Step 6: Final answer
    x = 148,287.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.